CN107026476A - A kind of method and apparatus for suppressing electromagnetic looped network power circulation - Google Patents
A kind of method and apparatus for suppressing electromagnetic looped network power circulation Download PDFInfo
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- CN107026476A CN107026476A CN201710341019.6A CN201710341019A CN107026476A CN 107026476 A CN107026476 A CN 107026476A CN 201710341019 A CN201710341019 A CN 201710341019A CN 107026476 A CN107026476 A CN 107026476A
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
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Abstract
The present invention provides a kind of method and apparatus for suppressing electromagnetic looped network power circulation, including：Calculate the opening voltage of electromagnetic looped network；The additional control signals of the first inverter and the second inverter are obtained, and obtain the blow-out angle-modulated signals of the first inverter and the second inverter；The Trigger Angle of the first inverter and the second inverter is calculated, and determines the power output of the first inverter and the second inverter.The characteristics of present invention is based on current conversion station power fast tunable carries out blow-out angle modulation respectively to the first Inverter Station and the second Inverter Station of DC transmission system, can dynamically suppress the reactive circular power flow in high and low electromagnetic circle net, can respond AC system and change in real time；And the present invention is the characteristics of be based on direct current layer-specific access mode, devises tuning controller and alleviate Inverter Station influence for intercoupling of active power and reactive power when changing reactive power output.
Description
Technical field
The present invention relates to technical field of ultrahigh voltage direct current, and in particular to a kind of side of suppression electromagnetic looped network power circulation
Method and device.
Background technology
China greatly develops extra-high voltage grid at present, and extra-high voltage 1000kV and super-pressure 750kV power networks are all in building
If initial stage, grid structure is all weaker within following a period of time, and its low voltage order one rack is stronger, maximum to obtain
Network transmitting power with rationally utilize low-cost resource, meet user's request etc., electromagnetic looped network will take Electromagnetic coupling mode.Together
When some established electromagnetic looped networks open loop operation may be temporarily difficult to due to a variety of causes, therefore electromagnetic looped network will be longer by one
Section time memory exists.Electromagnetic looped network is under conditions of security constraint is met, and economical operation is just into principal contradiction.Simultaneously with me
The extensive use of state's extra-high voltage direct-current technology, it will be following China's power network development that multi-infeed HVDC, which is concentrated and falls into receiving end load center,
The major issue faced.The problem of effectively to solve straight-flow system from electric network composition, introduce extra-high voltage direct-current layer-specific access
AC network mode, above-mentioned extra-high voltage direct-current layer-specific access mode refers to two of the inversion end series connection on a DC line
Individual Inverter Station is respectively connected to the change of current bus that voltage class is 500kV and voltage class is 1000kV.Due to extra-high voltage direct-current point
Layer access way, which contacted by the mode that 1000kV power networks and 500kV power networks and two current conversion stations are cascaded in power network, to be waited
Imitate as transformer device structure, this just provides possibility for the reactive power exchange that controls different voltage layers.
The content of the invention
The present invention provides a kind of method and apparatus for suppressing electromagnetic looped network power circulation, by the opening for measuring electromagnetic looped network
Voltage simultaneously feeds back to HVDC supplementary control, and blow-out angle-modulated signals are superimposed upon on the master controller of Inverter Station, inverse to adjust
Become the blow-out angle of device, and then change the power output of inverter, reach the mesh for suppressing reactive circular power flow in high and low electromagnetic circle net
's.
In order to realize foregoing invention purpose, the present invention is adopted the following technical scheme that：
The present invention provides a kind of method for suppressing electromagnetic looped network power circulation, including：
The opening electricity of electromagnetic looped network is calculated according to the first change of current bus BUS1 or the second change of current bus BUS2 voltage magnitude
Pressure；
The additional control signals of first inverter and the second inverter are obtained according to the opening voltage of electromagnetic looped network respectively, and
The blow-out of the first inverter and the second inverter is respectively obtained according to the additional control signals of the first inverter and the second inverter
Angle-modulated signals；
The first inverter and the second inverter are calculated according to the blow-out angle-modulated signals of the first inverter and the second inverter
Trigger Angle, and according to the blow-out of the first inverter and the Trigger Angle and the first inverter and the second inverter of the second inverter
Angle-modulated signals determine the power output of the first inverter and the second inverter；
The voltage class of first inverter is more than the voltage class of the second inverter；
First inverter is connected with the first change of current bus BUS1, second inverter and the second change of current bus BUS1
Connection, first change of current bus BUS1 is connected with the second change of current bus BUS2 by the n connecting transformers being sequentially connected in series.
It is described that opening for electromagnetic looped network is calculated according to the first change of current bus BUS1 or the second change of current bus BUS2 voltage magnitude
Mouth voltage includes：
The opening voltage such as following formula of electromagnetic looped network：
Δ U=U1-k1×k2×···×kn×U1 (1)
Or
Δ U=U2-k1×k2×···×kn×U2 (2)
Wherein, Δ U represents the opening voltage of electromagnetic looped network, knRepresent the no-load voltage ratio of n-th of connecting transformer, U1Represent first
Change of current bus BUS1 voltage magnitude, U2Represent the second change of current bus BUS2 voltage magnitude.
The opening voltage according to electromagnetic looped network obtains the additional control letter of the first inverter and the second inverter respectively
Number include：
The additional control signals of first inverter and the second inverter are respectively such as following formula：
Δu1=-Δ U (3)
Δu2=Δ U (4)
Wherein, Δ u1Represent the additional control signals of the first inverter, Δ u2Represent the additional control letter of the second inverter
Number.
The additional control signals according to the first inverter and the second inverter respectively obtain the first inverter and second
The blow-out angle-modulated signals of inverter include：
The blow-out angle-modulated signals of first inverter and the second inverter are respectively such as following formula：
Δγ1=Δ u1(a1+b1/s) (5)
Δγ2=Δ u2(a2+b2/s) (6)
Wherein, Δ γ1Represent the blow-out angle-modulated signals of the first inverter, a1、b1The direct current of the first inverter is represented respectively
The proportionality coefficient and integral coefficient of additional controller, Δ γ2Represent the blow-out angle-modulated signals of the second inverter, a2、b2Difference table
Show the proportionality coefficient and integral coefficient of the HVDC supplementary control of the second inverter, s represents integrating factor, Δ γ1With Δ γ2Point
Do not meet：
-Δγ1max≤Δγ1≤Δγ1max (7)
-Δγ2max≤Δγ2≤Δγ2max (8)
Wherein, Δ γ1maxRepresent the amplitude limits value at the blow-out angle of the first inverter, Δ γ2maxThe second inversion is represented respectively
The amplitude limits value at the blow-out angle of device.
It is described inverse according to the blow-out angle-modulated signals of the first inverter and the second inverter the first inverter of calculating and second
Becoming the Trigger Angle of device includes：
The Trigger Angle of first inverter and the second inverter is respectively such as following formula：
α1=(γ1-Δγ1-γ1ref)(K11+K12/s) (9)
α2=(γ2-Δγ2-γ2ref)(K21+K22/s) (10)
Wherein, α1Represent the Trigger Angle of the first inverter, α2Represent the Trigger Angle of the second inverter, γ1Represent the first inversion
The blow-out angle of device, γ2Represent the blow-out angle of the second inverter, γ1refRepresent the blow-out angle a reference value of the first inverter, γ2refTable
Show the blow-out angle a reference value of the second inverter, K11、K12The proportionality coefficient and integration of master controller in the first inverter are represented respectively
Coefficient, K21、K22The proportionality coefficient and integral coefficient of master controller in the second inverter are represented respectively.
It is described according to the first inverter and the Trigger Angle and the first inverter of the second inverter and putting out for the second inverter
Arc angle modulated signal determines that the first inverter and the power output of the second inverter include：
Judge α1Whether 0 is more than, if the then power output of the first inverter such as following formula：
P1=K1U1Icos(γ1-Δγ1) (11)
Q1=-K1U1Isin(γ1-Δγ1) (12)
Wherein, P1Represent the active power of the first inverter output, Q1The reactive power of the first inverter output is represented, I is
DC line electric current, K1Represent the proportionality coefficient of the first inverter；
If α1≤ 0, the then power output of the first inverter such as following formula：
P1=K1U1Icosγ1 (13)
Q1=-K1U1Isinγ1 (14)。
It is described according to the first inverter and the Trigger Angle and the first inverter of the second inverter and putting out for the second inverter
Arc angle modulated signal determines that the first inverter and the power output of the second inverter include：
Judge α2Whether 0 is more than, if the then power output of the second inverter such as following formula：
P2=K2U2Icos(γ2-Δγ2) (15)
Q2=-K2U2Isin(γ2-Δγ2) (16)
Wherein, P2Represent the active power of the second inverter output, Q2Represent the reactive power of the second inverter output, K2
Represent the proportionality coefficient of the second inverter；
If α2≤ 0, the then power output of the second inverter such as following formula：
P2=K2U2Icosγ2 (17)
Q2=-K2U2Isinγ2 (18)。
The present invention also provides a kind of device for suppressing electromagnetic looped network power circulation, and the electromagnetic looped network includes the first inversion
The connecting transformer that device, the second inverter, the first change of current bus BUS1, the second change of current bus BUS2 and n are sequentially connected in series；It is described
First inverter connection the first change of current bus BUS1, second inverter connects the second change of current bus BUS2, and described first changes
Stream bus BUS1 and the second change of current bus BUS2 is connected by the n connecting transformers being sequentially connected in series；Described device includes：
Computing module, for calculating electromagnetism according to the first change of current bus BUS1 or the second change of current bus BUS2 voltage magnitude
The opening voltage of looped network；
Acquisition module, for obtaining the attached of the first inverter and the second inverter respectively according to the opening voltage of electromagnetic looped network
Increase control signal, and respectively obtain the first inverter and second according to the additional control signals of the first inverter and the second inverter
The blow-out angle-modulated signals of inverter；
Determining module, for calculating the first inverter according to the blow-out angle-modulated signals of the first inverter and the second inverter
With the Trigger Angle of the second inverter, and according to the Trigger Angle and the first inverter and second of the first inverter and the second inverter
The blow-out angle-modulated signals of inverter determine the power output of the first inverter and the second inverter.
The computing module specifically for：
The opening voltage such as following formula of electromagnetic looped network：
Δ U=U1-k1×k2×···×kn×U1 (1)
Or
Δ U=U2-k1×k2×···×kn×U2 (2)
Wherein, Δ U represents the opening voltage of electromagnetic looped network, knRepresent the no-load voltage ratio of n-th of connecting transformer, U1Represent first
Change of current bus BUS1 voltage magnitude, U2Represent the second change of current bus BUS2 voltage magnitude.
The acquisition module specifically for：
The additional control signals of first inverter and the second inverter are respectively such as following formula：
Δu1=-Δ U (3)
Δu2=Δ U (4)
Wherein, Δ u1Represent the additional control signals of the first inverter, Δ u2Represent the additional control letter of the second inverter
Number.
The acquisition module specifically for：
The blow-out angle-modulated signals of first inverter and the second inverter are respectively such as following formula：
Δγ1=Δ u1(a1+b1/s) (5)
Δγ2=Δ u2(a2+b2/s) (6)
Wherein, Δ γ1Represent the blow-out angle-modulated signals of the first inverter, a1、b1The direct current of the first inverter is represented respectively
The proportionality coefficient and integral coefficient of additional controller, Δ γ2Represent the blow-out angle-modulated signals of the second inverter, a2、b2Difference table
Show the proportionality coefficient and integral coefficient of the HVDC supplementary control of the second inverter, s represents integrating factor, Δ γ1With Δ γ2Point
Do not meet：
-Δγ1max≤Δγ1≤Δγ1max (7)
-Δγ2max≤Δγ2≤Δγ2max (8)
Wherein, Δ γ1maxRepresent the amplitude limits value at the blow-out angle of the first inverter, Δ γ2maxThe second inversion is represented respectively
The amplitude limits value at the blow-out angle of device.
The determining module specifically for：
The Trigger Angle of first inverter and the second inverter is respectively such as following formula：
α1=(γ1-Δγ1-γ1ref)(K11+K12/s) (9)
α2=(γ2-Δγ2-γ2ref)(K21+K22/s) (10)
Wherein, α1Represent the Trigger Angle of the first inverter, α2Represent the Trigger Angle of the second inverter, γ1Represent the first inversion
The blow-out angle of device, γ2Represent the blow-out angle of the second inverter, γ1refRepresent the blow-out angle a reference value of the first inverter, γ2refTable
Show the blow-out angle a reference value of the second inverter, K11、K12The proportionality coefficient and integration system of master controller in respectively the first inverter
Number, K21、K22The proportionality coefficient and integral coefficient of master controller in respectively the second inverter.
The determining module specifically for：
Judge α1Whether 0 is more than, if the then power output of the first inverter such as following formula：
P1=K1U1Icos(γ1-Δγ1) (11)
Q1=-K1U1Isin(γ1-Δγ1) (12)
Wherein, P1Represent the active power of the first inverter output, Q1The reactive power of the first inverter output is represented, I is
DC line electric current, K1Represent the proportionality coefficient of the first inverter；
If α1≤ 0, the then power output of the first inverter such as following formula：
P1=K1U1Icosγ1 (13)
Q1=-K1U1Isinγ1 (14)。
The determining module specifically for：
Judge α2Whether 0 is more than, if the then power output of the second inverter such as following formula：
P2=K2U2Icos(γ2-Δγ2) (15)
Q2=-K2U2Isin(γ2-Δγ2) (16)
Wherein, P2Represent the active power of the second inverter output, Q2Represent the reactive power of the second inverter output, K2
Represent the proportionality coefficient of the second inverter；
If α2≤ 0, the then power output of the second inverter such as following formula：
P2=K2U2Icosγ2 (17)
Q2=-K2U2Isinγ2 (18)。
Compared with immediate prior art, the technical scheme that the present invention is provided has the advantages that：
1. the technical scheme that the present invention is provided is first according to the first change of current bus BUS1 or the second change of current bus BUS2 voltage
Amplitude calculates the opening voltage of electromagnetic looped network；Then the first inverter and second are obtained according to the opening voltage of electromagnetic looped network respectively
The additional control signals of inverter, and it is inverse according to the additional control signals of the first inverter and the second inverter to respectively obtain first
Become the blow-out angle-modulated signals of device and the second inverter；Finally according to the blow-out angle modulation letter of the first inverter and the second inverter
Number calculate the Trigger Angle of the first inverter and the second inverter, and Trigger Angle according to the first inverter and the second inverter and
The blow-out angle-modulated signals of first inverter and the second inverter determine the power output of the first inverter and the second inverter, most
Realize eventually and control the first inverter and the second inversion using the mode of the first Inverter Station and the second Inverter Station direct current layer-specific access
The respective power output of device, and then realize the purpose for suppressing electromagnetic looped network power circulation；
The idle change of current 2. the present invention is disinthibited using existing DC transmission engineering in high and low electromagnetic circle net, it is not necessary to
Increase new equipment, investment is not newly increased, econmics comparison is good；
3. traditional method by changing load tap changer goes to control the electromagnetism circulation of looped network, real-time is bad, and
And frequent movement tap can reduce the service life of equipment, and the present invention the characteristics of be based on current conversion station power fast tunable to straight
The first Inverter Station and the second Inverter Station for flowing transmission system carry out blow-out angle modulation respectively, can dynamically suppress high-low pressure electromagnetism ring
Reactive circular power flow in net, can respond AC system and change in real time；
4. the characteristics of present invention is based on direct current layer-specific access mode, i.e., two Inverter Stations connected in inverter side are first inverse
Become station and the second Inverter Station is respectively connected to the power network of different voltage class, devise tuning controller and alleviate Inverter Station in change
The influence that active power and reactive power intercouple when reactive power is exported；
5. the present invention has used the first Inverter Station and the second Inverter Station to control the electromagnetism circulation in electromagnetic looped network, theoretical
Reactive-power control scope is wider for upper, and regulating power is stronger, while the electrostatic condenser configured in Inverter Station can also strengthen its tune
Save power.
Brief description of the drawings
Fig. 1 is the equivalent circuit diagram of electromagnetic looped network under direct current layer-specific access mode in the embodiment of the present invention；
Fig. 2 is the additional control signals acquisition schematic diagram of middle and high end of embodiment of the present invention inverter and low side inverter；
Fig. 3 is the master controller and HVDC supplementary control schematic diagram of middle and high end of embodiment of the present invention Inverter Station；
Fig. 4 is the master controller and HVDC supplementary control schematic diagram of low and middle-end Inverter Station of the embodiment of the present invention；
Fig. 5 is the overall control principle drawing of method of suppression electromagnetic looped network power circulation in the embodiment of the present invention.
Embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings.
The method provided in an embodiment of the present invention for suppressing electromagnetic looped network power circulation by detecting high-low pressure electromagnetism ring in real time
The opening voltage magnitude of net, and as feedback signal act on HVDC supplementary control by change high-end inverter and
The idle output of the blow-out angle set-point control Inverter Station of low side inverter reaches dynamic suppression to form opposite reactive circular power flow
The purpose of reactive circular power flow in electromagnetic looped network processed.HVDC supplementary control causes the blow-out of high-end inverter and low side inverter simultaneously
Change in the opposite direction when angular motion is made, can so mitigate due to the active power coupling when changing the idle output of Inverter Station
Influence so that the active power of whole DC line conveying is substantially constant.
Electromagnetic looped network equivalent circuit diagram therein is as shown in figure 1, be connected on the high-end inverter on same DC line
With the low side inverter AC system that to be respectively connected to voltage class different.In actual engineering, high-end inverter is linked into 500kV
AC system, low side inverter is linked into 1000kV AC system, and the AC system of two different voltage class is by changing
Convertor transformer is connected.High-end inverter is exchanged together by converter power transformer T1 and converter power transformer T2 respectively with low side inverter
System connection, distinguishes parallel reactive compensation equipment B on high-end change of current bus BUS1 and low side change of current bus BUS2c1And Bc2.Electromagnetism
Looped network includes high-end inverter, low side inverter, converter power transformer T1, converter power transformer T2, high-end change of current bus BUS1, low side
The connecting transformer that change of current bus BUS2 and n is sequentially connected in series；Annexation between them is as follows：
High-end inverter is connected with low side inverter, and high-end inverter and low side inverter pass through converter power transformer respectively
The contact transformation that the T1 and high-end change of current bus BUS1 of converter power transformer T2 connections and low side change of current bus BUS2, n are sequentially connected in series
Device is located between high-end change of current bus BUS1 and low side change of current bus BUS2.
The method flow diagram provided in an embodiment of the present invention for suppressing electromagnetic looped network power circulation is as shown in figure 5, in the big time
The blow-out angle of two inverters can maintain rated value or so on yardstick, to make it have good Reactive-power control ability.Suppress
The method body process of electromagnetic looped network power circulation is as follows：
S101：Opening for electromagnetic looped network is calculated according to high-end change of current bus BUS1 or the low side change of current bus BUS2 voltage magnitude
Mouth voltage；
S102：High-end inverter and low side inversion are obtained according to the S101 opening voltages for calculating obtained electromagnetic looped network respectively
The additional control signals of device, then respectively obtain high-end inversion according to the additional control signals of high-end inverter and low side inverter
The blow-out angle-modulated signals of device and low side inverter；
S103：High-end inversion is calculated according to the blow-out angle-modulated signals of the obtained high-end inverters of S102 and low side inverter
The Trigger Angle of device and low side inverter, and Trigger Angle and high-end inverter according to high-end inverter and low side inverter and low
The blow-out angle-modulated signals of end inverter determine the power output of high-end inverter and low side inverter.
In above-mentioned S101, electromagnetism is calculated according to high-end change of current bus BUS1 or the low side change of current bus BUS2 voltage magnitude
The opening voltage detailed process of looped network is as follows：
Assuming that electromagnetic looped network cut-offs in measurement point, voltage magnitude passes through the change on circuit to low-voltage circuit again from high-tension line
Another terminal voltage that transformer voltage ratio conversion is cut-off.Then the voltage measured being subtracted each other with the voltage converted can just obtain
To electromagnetic looped network opening voltage, the specific computational methods of opening voltage of electromagnetic looped network are：With certain the node voltage width measured
Value with from high pressure rack to the order of low pressure rack along high and low electromagnetic circle net be multiplied by successively by transformer voltage ratio always
Terminate to former measurement point, obtained voltage magnitude can be obtained by high and low electromagnetic circle net with the voltage magnitude measured originally as difference
Opening voltage.The opening voltage of electromagnetic looped network can be by high-end change of current bus BUS1 voltage magnitude U1Calculate, can also
Pass through low side change of current bus BUS2 voltage magnitude U2Calculate, the opening voltage formula specific as follows of electromagnetic looped network：
Δ U=U1-k1×k2×···×kn×U1 (1)
Or
Δ U=U2-k1×k2×···×kn×U2 (2)
Wherein, Δ U represents the opening voltage of electromagnetic looped network, knRepresent the no-load voltage ratio of n-th of connecting transformer, U1Represent high-end
Change of current bus BUS1 voltage magnitude, U2Represent low side change of current bus BUS2 voltage magnitude.
In above-mentioned S102, the additional of high-end inverter and low side inverter is obtained according to the opening voltage of electromagnetic looped network respectively
Control signal detailed process is as follows：
As shown in Fig. 2 the additional control signals of high-end inverter and low side inverter are shown below respectively：
Δu1=-Δ U (3)
Δu2=Δ U (4)
Wherein, Δ u1Represent the additional control signals of high-end inverter, Δ u2Represent the additional control letter of low side inverter
Number.
In above-mentioned S102, high-end inverter is respectively obtained according to the additional control signals of high-end inverter and low side inverter
Blow-out angle-modulated signals detailed process with low side inverter is as follows：
The control targe of HVDC supplementary control is the opening for controlling electromagnetic looped network in high-end inverter and low side inverter
Voltage magnitude reaches minimum；Control basis is that the power output of high-end inverter and low side inverter can be high-end inverse by changing
Become device and a reference value fast tunable at low side inverter blow-out angle；Control device is by opening voltage magnitude and given voltage
The difference blow-out angle-modulated signals that form high-end inverter and low side inverter through links such as PI be superimposed upon high-end inversion respectively
High-end inverter, the blow-out angle γ of low side inverter of master controller output in device and low side inverter1、γ2On it is high-end to control
The power output of inverter and low side inverter is in a small range dynamic change.
The input of HVDC supplementary control in high-end inverter is the additional control signals Δ u of high-end inverter1, output
For high-end blow-out angle-modulated signals Δ γ1, i.e. Δ u1Obtained by the PI links and amplitude limit link of the additional controller of high-end inverter
To high-end blow-out angle-modulated signals Δ γ1；The input of HVDC supplementary control in low side inverter is the attached of low side inverter
Increase control signal Δ u2, it is output as low side blow-out angle-modulated signals Δ γ2, i.e. Δ u2Pass through the additional controller of low side inverter
PI links and amplitude limit link obtain low side blow-out angle-modulated signals Δ γ2, specific high-end inverter and low side inverter
Blow-out angle-modulated signals are respectively such as following formula：
Δγ1=Δ u1(a1+b1/s) (5)
Δγ2=Δ u2(a2+b2/s) (6)
Wherein, Δ γ1Represent the blow-out angle-modulated signals of high-end inverter, a1、b1The direct current of high-end inverter is represented respectively
The proportionality coefficient and integral coefficient of additional controller, Δ γ2Represent the blow-out angle-modulated signals of low side inverter, a2、b2Difference table
Show the proportionality coefficient and integral coefficient of the HVDC supplementary control of low side inverter, s represents integrating factor, Δ γ1With Δ γ2Point
Do not meet：
-Δγ1max≤Δγ1≤Δγ1max (7)
-Δγ2max≤Δγ2≤Δγ2max (8)
Wherein, Δ γ1maxRepresent the amplitude limits value at the blow-out angle of high-end inverter, Δ γ2maxLow side inversion is represented respectively
The amplitude limits value at the blow-out angle of device.
In above-mentioned S103, according to the blow-out angle-modulated signals of high-end inverter and low side inverter calculate high-end inverter and
The Trigger Angle detailed process of low side inverter is as follows：
According to the blow-out angle-modulated signals Δ γ of high-end inverter1Obtain the Trigger Angle α of high-end inverter1, detailed process is such as
Shown in Fig. 3, dotted line outer frame is attached for the direct current of high-end inverter in the master controller part of high-end inverter, dotted line frame in Fig. 3
Plus controller part, the Trigger Angle such as following formula of high-end inverter：
α1=(γ1-Δγ1-γ1ref)(K11+K12/s) (9)
According to the blow-out angle-modulated signals Δ γ of low side inverter2Obtain the Trigger Angle α of high-end inverter2, detailed process is such as
Shown in Fig. 4, dotted line outer frame is attached for the direct current of low side inverter in the master controller part of low side inverter, dotted line frame in Fig. 4
Plus controller part, the Trigger Angle such as following formula of low side inverter：
α2=(γ2-Δγ2-γ2ref)(K21+K22/s) (10)
In formula (9) and (10), α1Represent the Trigger Angle of high-end inverter, α2Represent the Trigger Angle of low side inverter, γ1Table
Show the blow-out angle of high-end inverter, γ2Represent the blow-out angle of low side inverter, γ1refRepresent the blow-out angle benchmark of high-end inverter
Value, γ2refRepresent the blow-out angle a reference value of low side inverter, K11、K12The ratio system of master controller in respectively high-end inverter
Number and integral coefficient, K21、K22The proportionality coefficient and integral coefficient of master controller respectively in low side inverter.
In above-mentioned S103, according to high-end inverter and the Trigger Angle and high-end inverter of low side inverter and low side inversion
The blow-out angle-modulated signals of device determine that high-end inverter and the power output of low side inverter include：
First judge α1Whether it is more than 0, if then changing the power output of high-end inverter, is used due to high-end inverter
It is thyristor converter device, its active output intercouples with idle output, so the power output of high-end inverter is as follows
Formula：
P1=K1U1Icos(γ1-Δγ1) (11)
Q1=-K1U1Isin(γ1-Δγ1) (12)
Wherein, P1Represent the active power of high-end inverter output, Q1The reactive power of high-end inverter output is represented, I is
DC line electric current, K1Represent the proportionality coefficient of high-end inverter；
If α1≤ 0, the then power output of high-end inverter such as following formula：
P1=K1U1Icosγ1 (13)
Q1=-K1U1Isinγ1 (14)。
It can find, the present embodiment goes to control putting out for high-end inverter using the opening voltage of electromagnetic looped network as deviation signal
Arc angle γ1, so as to change the reactive power that high-end inverter injects to AC network, make direction change of the opening voltage to reduction
To reach control purpose.
In above-mentioned S103, according to high-end inverter and the Trigger Angle and high-end inverter of low side inverter and low side inversion
The blow-out angle-modulated signals of device determine that high-end inverter and the power output of low side inverter include：
First judge α2Whether it is more than 0, if then changing the power output of low side inverter, is used due to low side inverter
It is thyristor converter device, its active output intercouples with idle output, so the power output of low side inverter is as follows
Formula：
P2=K2U2Icos(γ2-Δγ2) (15)
Q2=-K2U2Isin(γ2-Δγ2) (16)
Wherein, P2Represent the active power of low side inverter output, Q2Represent the reactive power of low side inverter output, K2
Represent the proportionality coefficient of low side inverter；
If α2≤ 0, the then power output of low side inverter such as following formula：
P2=K2U2Icosγ2 (17)
Q2=-K2U2Isinγ2 (18)。
It can find, the present embodiment goes to control putting out for low side inverter using the opening voltage of electromagnetic looped network as deviation signal
Arc angle γ2, so as to change the reactive power that low side inverter injects to AC network, make direction change of the opening voltage to reduction
To reach control purpose.
Based on same inventive concept, the embodiment of the present invention additionally provides a kind of device for suppressing electromagnetic looped network power circulation,
The principle that these equipment solve problem is similar to the method for suppressing electromagnetic looped network power circulation, below to suppressing electromagnetic looped network power
The device of circulation describes in detail.
In the device provided in an embodiment of the present invention for suppressing electromagnetic looped network power circulation, electromagnetic looped network includes high-end inversion
Device, low side inverter, converter power transformer T1, converter power transformer T2, high-end change of current bus BUS1, the low side change of current bus BUS2 and n
The individual connecting transformer being sequentially connected in series；High-end inverter is connected with low side inverter, and high-end inverter and low side inverter point
Not by the converter power transformer T1 and high-end change of current bus BUS1 of converter power transformer T2 connections and low side change of current bus BUS2, n according to
The connecting transformer of secondary series connection is located between high-end change of current bus BUS1 and low side change of current bus BUS2, is layered and suppressed using direct current
The device of electromagnetic looped network power circulation mainly includes：Computing module, acquisition module and determining module, introduce three moulds separately below
The function of block：
Computing module, for calculating electromagnetism according to high-end change of current bus BUS1 or the low side change of current bus BUS2 voltage magnitude
The opening voltage of looped network；
Acquisition module, for obtaining the attached of high-end inverter and low side inverter respectively according to the opening voltage of electromagnetic looped network
Increase control signal, and respectively obtain high-end inverter and low side according to the additional control signals of high-end inverter and low side inverter
The blow-out angle-modulated signals of inverter；
Determining module, for calculating high-end inverter according to the blow-out angle-modulated signals of high-end inverter and low side inverter
With the Trigger Angle of low side inverter, and according to high-end inverter and the Trigger Angle and high-end inverter and low side of low side inverter
The blow-out angle-modulated signals of inverter determine the power output of high-end inverter and low side inverter.
Above-mentioned computing module calculates electricity according to high-end change of current bus BUS1 or the low side change of current bus BUS2 voltage magnitude
The opening voltage of magnet ring net is specific excessively as follows：
The opening voltage formula specific as follows of electromagnetic looped network：
Δ U=U1-k1×k2×···×kn×U1 (1)
Or
Δ U=U2-k1×k2×···×kn×U2 (2)
Wherein, Δ U represents the opening voltage of electromagnetic looped network, knRepresent the no-load voltage ratio of n-th of connecting transformer, U1Represent high-end
Change of current bus BUS1 voltage magnitude, U2Represent low side change of current bus BUS2 voltage magnitude.
The device for suppressing electromagnetic looped network power circulation is layered using direct current also including acquisition module, the acquisition module is specifically used
In：
Obtain the no-load voltage ratio k of n connecting transformer1、k2、···、kn, and gather high-end change of current mother using voltage transformer
Line BUS1 and the low side change of current bus BUS2 voltage magnitude U1And U2。
Above-mentioned computing module calculates electricity according to high-end change of current bus BUS1 or the low side change of current bus BUS2 voltage magnitude
The opening voltage of magnet ring net is specific excessively as follows：
The opening voltage such as following formula of electromagnetic looped network：
Δ U=U1-k1×k2×···×kn×U1 (1)
Or
Δ U=U2-k1×k2×···×kn×U2 (2)
Wherein, Δ U represents the opening voltage of electromagnetic looped network.
Above-mentioned acquisition module obtains high-end inverter and low side inverter respectively according to the opening voltage of electromagnetic looped network
Additional control signals detailed process is as follows：
The additional control signals of high-end inverter and low side inverter are respectively such as following formula：
Δu1=-Δ U (3)
Δu2=Δ U (4)
Wherein, Δ u1Represent the additional control signals of high-end inverter, Δ u2Represent the additional control letter of low side inverter
Number.
Above-mentioned acquisition module respectively obtains high-end inverse according to the additional control signals of high-end inverter and low side inverter
The blow-out angle-modulated signals detailed process for becoming device and low side inverter is as follows：
The blow-out angle-modulated signals of high-end inverter and low side inverter are respectively such as following formula：
Δγ1=Δ u1(a1+b1/s) (5)
Δγ2=Δ u2(a2+b2/s) (6)
Wherein, Δ γ1Represent the blow-out angle-modulated signals of high-end inverter, a1、b1The direct current of high-end inverter is represented respectively
The proportionality coefficient and integral coefficient of additional controller, Δ γ2Represent the blow-out angle-modulated signals of low side inverter, a2、b2Difference table
Show the proportionality coefficient and integral coefficient of the HVDC supplementary control of low side inverter, s represents integrating factor, Δ γ1With Δ γ2Point
Do not meet：
-Δγ1max≤Δγ1≤Δγ1max (7)
-Δγ2max≤Δγ2≤Δγ2max (8)
Wherein, Δ γ1maxRepresent the amplitude limits value at the blow-out angle of high-end inverter, Δ γ2maxLow side inversion is represented respectively
The amplitude limits value at the blow-out angle of device.
The above-mentioned root tuber of cover half really calculates high-end inversion according to the blow-out angle-modulated signals of high-end inverter and low side inverter
The Trigger Angle detailed process of device and low side inverter is as follows：
The Trigger Angle of high-end inverter and low side inverter is respectively such as following formula：
α1=(γ1-Δγ1-γ1ref)(K11+K12/s) (9)
α2=(γ2-Δγ2-γ2ref)(K21+K22/s) (10)
Wherein, α1Represent the Trigger Angle of high-end inverter, α2Represent the Trigger Angle of low side inverter, γ1Represent high-end inversion
The blow-out angle of device, γ2Represent the blow-out angle of low side inverter, γ1refRepresent the blow-out angle a reference value of high-end inverter, γ2refTable
Show the blow-out angle a reference value of low side inverter, K11、K12The proportionality coefficient and integration system of master controller in respectively high-end inverter
Number, K21、K22The proportionality coefficient and integral coefficient of master controller respectively in low side inverter.
The above-mentioned root tuber of cover half really determines high-end inverse according to the blow-out angle-modulated signals of high-end inverter and high-end inverter
The power output detailed process for becoming device is as follows：
First judge α1Whether 0 is more than, if the then power output of high-end inverter such as following formula：
P1=K1U1Icos(γ1-Δγ1) (11)
Q1=-K1U1Isin(γ1-Δγ1) (12)
Wherein, P1Represent the active power of high-end inverter output, Q1The reactive power of high-end inverter output is represented, I is
DC line electric current, K1Represent the proportionality coefficient of high-end inverter；
If α1≤ 0, the then power output of high-end inverter such as following formula：
P1=K1U1Icosγ1 (13)
Q1=-K1U1Isinγ1 (14)。
The above-mentioned root tuber of cover half really is true according to the Trigger Angle of low side inverter and the blow-out angle-modulated signals of low side inverter
Determine the power output of low side inverter specifically for：
First judge α2Whether 0 is more than, if the then power output of low side inverter such as following formula：
P2=K2U2Icos(γ2-Δγ2) (15)
Q2=-K2U2Isin(γ2-Δγ2) (16)
Wherein, P2Represent the active power of low side inverter output, Q2Represent the reactive power of low side inverter output, K2
Represent the proportionality coefficient of low side inverter；
If α2≤ 0, the then power output of low side inverter such as following formula：
P2=K2U2Icosγ2 (17)
Q2=-K2U2Isinγ2 (18)。
For convenience of description, each several part of apparatus above is divided into various modules with function or unit is described respectively.Certainly,
Each module or the function of unit can be realized in same or multiple softwares or hardware when implementing the application.
It should be understood by those skilled in the art that, embodiments herein can be provided as method, system or computer program
Product.Therefore, the application can be using the reality in terms of complete hardware embodiment, complete software embodiment or combination software and hardware
Apply the form of example.Moreover, the application can be used in one or more computers for wherein including computer usable program code
The computer program production that usable storage medium is implemented on (including but is not limited to magnetic disk storage, CD-ROM, optical memory etc.)
The form of product.
The application is the flow with reference to method, equipment (system) and computer program product according to the embodiment of the present application
Figure and/or block diagram are described.It should be understood that can be by every first-class in computer program instructions implementation process figure and/or block diagram
Journey and/or the flow in square frame and flow chart and/or block diagram and/or the combination of square frame.These computer programs can be provided
The processor of all-purpose computer, special-purpose computer, Embedded Processor or other programmable data processing devices is instructed to produce
A raw machine so that produced by the instruction of computer or the computing device of other programmable data processing devices for real
The device for the function of being specified in present one flow of flow chart or one square frame of multiple flows and/or block diagram or multiple square frames.
These computer program instructions, which may be alternatively stored in, can guide computer or other programmable data processing devices with spy
Determine in the computer-readable memory that mode works so that the instruction being stored in the computer-readable memory, which is produced, to be included referring to
Make the manufacture of device, the command device realize in one flow of flow chart or multiple flows and/or one square frame of block diagram or
The function of being specified in multiple square frames.
These computer program instructions can be also loaded into computer or other programmable data processing devices so that in meter
Series of operation steps is performed on calculation machine or other programmable devices to produce computer implemented processing, thus in computer or
The instruction performed on other programmable devices is provided for realizing in one flow of flow chart or multiple flows and/or block diagram one
The step of function of being specified in individual square frame or multiple square frames.
Finally it should be noted that：The above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, institute
The those of ordinary skill in category field with reference to above-described embodiment still can to the present invention embodiment modify or
Equivalent substitution, these any modifications or equivalent substitution without departing from spirit and scope of the invention are applying for this pending hair
Within bright claims.
Claims (14)
1. a kind of method for suppressing electromagnetic looped network power circulation, it is characterised in that including：
The opening voltage of electromagnetic looped network is calculated according to the first change of current bus BUS1 or the second change of current bus BUS2 voltage magnitude；
The additional control signals of first inverter and the second inverter are obtained according to the opening voltage of electromagnetic looped network respectively, and according to
The additional control signals of first inverter and the second inverter respectively obtain the first inverter and the blow-out angle of the second inverter is adjusted
Signal processed；The first inverter and the second inverter are calculated according to the blow-out angle-modulated signals of the first inverter and the second inverter
Trigger Angle, and according to the Trigger Angle and the first inverter and the blow-out angle of the second inverter of the first inverter and the second inverter
Modulated signal determines the power output of the first inverter and the second inverter；
The voltage class of first inverter is more than the voltage class of the second inverter；
First inverter is connected with the first change of current bus BUS1, and second inverter and the second change of current bus BUS1 connect
Connect, first change of current bus BUS1 is connected with the second change of current bus BUS2 by the n connecting transformers being sequentially connected in series.
2. the method according to claim 1 for suppressing electromagnetic looped network power circulation, it is characterised in that described to be changed according to first
The opening voltage that stream bus BUS1 or the second change of current bus BUS2 voltage magnitude calculates electromagnetic looped network includes：
The opening voltage such as following formula of electromagnetic looped network：
Δ U=U1-k1×k2×…×kn×U1 (1)
Or
Δ U=U2-k1×k2×…×kn×U2 (2)
Wherein, Δ U represents the opening voltage of electromagnetic looped network, knRepresent the no-load voltage ratio of n-th of connecting transformer, U1Represent first change of current
Bus BUS1 voltage magnitude, U2Represent the second change of current bus BUS2 voltage magnitude.
3. the method according to claim 2 for suppressing electromagnetic looped network power circulation, it is characterised in that described according to electromagnetism ring
The opening voltage of net obtains the first inverter and the additional control signals of the second inverter respectively to be included：
The additional control signals of first inverter and the second inverter are respectively such as following formula：
Δu1=-Δ U (3)
Δu2=Δ U (4)
Wherein, Δ u1Represent the additional control signals of the first inverter, Δ u2Represent the additional control signals of the second inverter.
4. the method according to claim 3 for suppressing electromagnetic looped network power circulation, it is characterised in that described inverse according to first
The additional control signals of change device and the second inverter respectively obtain the blow-out angle-modulated signals of the first inverter and the second inverter
Including：
The blow-out angle-modulated signals of first inverter and the second inverter are respectively such as following formula：
Δγ1=Δ u1(a1+b1/s) (5)
Δγ2=Δ u2(a2+b2/s) (6)
Wherein, Δ γ1Represent the blow-out angle-modulated signals of the first inverter, a1、b1Represent that the direct current of the first inverter is added respectively
The proportionality coefficient and integral coefficient of controller, Δ γ2Represent the blow-out angle-modulated signals of the second inverter, a2、b2Is represented respectively
The proportionality coefficient and integral coefficient of the HVDC supplementary control of two inverters, s represent integrating factor, Δ γ1With Δ γ2It is full respectively
Foot：
-Δγ1max≤Δγ1≤Δγ1max (7)
-Δγ2max≤Δγ2≤Δγ2max (8)
Wherein, Δ γ1maxRepresent the amplitude limits value at the blow-out angle of the first inverter, Δ γ2maxThe second inverter is represented respectively
The amplitude limits value at blow-out angle.
5. the method according to claim 4 for suppressing electromagnetic looped network power circulation, it is characterised in that described inverse according to first
Becoming device and blow-out angle-modulated signals the first inverter of calculating of the second inverter and the Trigger Angle of the second inverter includes：
The Trigger Angle of first inverter and the second inverter is respectively such as following formula：
α1=(γ1-Δγ1-γ1ref)(K11+K12/s) (9)
α2=(γ2-Δγ2-γ2ref)(K21+K22/s) (10)
Wherein, α1、α2The first inverter, the Trigger Angle of the second inverter, γ are represented respectively1The blow-out angle of the first inverter is represented,
γ2Represent the blow-out angle of the second inverter, γ1refRepresent the blow-out angle a reference value of the first inverter, γ2refRepresent the second inversion
The blow-out angle a reference value of device, K11、K12The proportionality coefficient and integral coefficient of master controller in the first inverter, K are represented respectively21、K22
The proportionality coefficient and integral coefficient of master controller in the second inverter are represented respectively.
6. the method according to claim 5 for suppressing electromagnetic looped network power circulation, it is characterised in that described inverse according to first
Become device and the Trigger Angle and the first inverter of the second inverter and the blow-out angle-modulated signals of the second inverter determine that first is inverse
Becoming the power output of device and the second inverter includes：
Judge α1Whether 0 is more than, if the then power output of the first inverter such as following formula：
P1=K1U1Icos(γ1-Δγ1) (11)
Q1=-K1U1Isin(γ1-Δγ1) (12)
Wherein, P1Represent the active power of the first inverter output, Q1The reactive power of the first inverter output is represented, I is direct current
Line current, K1Represent the proportionality coefficient of the first inverter；
If α1≤ 0, the then power output of the first inverter such as following formula：
P1=K1U1Icosγ1 (13)
Q1=-K1U1Isinγ1 (14)。
7. the method according to claim 5 for suppressing electromagnetic looped network power circulation, it is characterised in that described inverse according to first
Become device and the Trigger Angle and the first inverter of the second inverter and the blow-out angle-modulated signals of the second inverter determine that first is inverse
Becoming the power output of device and the second inverter includes：
Judge α2Whether 0 is more than, if the then power output of the second inverter such as following formula：
P2=K2U2Icos(γ2-Δγ2) (15)
Q2=-K2U2Isin(γ2-Δγ2) (16)
Wherein, P2Represent the active power of the second inverter output, Q2Represent the reactive power of the second inverter output, K2Represent
The proportionality coefficient of second inverter；
If α2≤ 0, the then power output of the second inverter such as following formula：
P2=K2U2Icosγ2 (17)
Q2=-K2U2Isinγ2 (18)。
8. a kind of device for suppressing electromagnetic looped network power circulation, it is characterised in that the electromagnetic looped network includes the first inverter, the
The connecting transformer that two inverters, the first change of current bus BUS1, the second change of current bus BUS2 and n are sequentially connected in series；Described first
Inverter the first change of current bus of connection BUS1, the second inverter connection the second change of current bus BUS2, first change of current is female
Line BUS1 and the second change of current bus BUS2 is connected by the n connecting transformers being sequentially connected in series；Described device includes：
Computing module, for calculating electromagnetic looped network according to the first change of current bus BUS1 or the second change of current bus BUS2 voltage magnitude
Opening voltage；
Acquisition module, the additional control for obtaining the first inverter and the second inverter respectively according to the opening voltage of electromagnetic looped network
Signal processed, and respectively obtain the first inverter and the second inversion according to the additional control signals of the first inverter and the second inverter
The blow-out angle-modulated signals of device；
Determining module, for calculating the first inverter and the according to the blow-out angle-modulated signals of the first inverter and the second inverter
The Trigger Angle of two inverters, and according to the first inverter and the Trigger Angle and the first inverter of the second inverter and the second inversion
The blow-out angle-modulated signals of device determine the power output of the first inverter and the second inverter.
9. the device according to claim 8 for suppressing electromagnetic looped network power circulation, it is characterised in that the computing module tool
Body is used for：
The opening voltage such as following formula of electromagnetic looped network：
Δ U=U1-k1×k2×××kn×U1 (1)
Or
Δ U=U2-k1×k2×…×kn×U2 (2)
Wherein, Δ U represents the opening voltage of electromagnetic looped network, knRepresent the no-load voltage ratio of n-th of connecting transformer, U1Represent first change of current
Bus BUS1 voltage magnitude, U2Represent the second change of current bus BUS2 voltage magnitude.
10. the device according to claim 9 for suppressing electromagnetic looped network power circulation, it is characterised in that the acquisition module
Specifically for：
The additional control signals of first inverter and the second inverter are respectively such as following formula：
Δu1=-Δ U (3)
Δu2=Δ U (4)
Wherein, Δ u1Represent the additional control signals of the first inverter, Δ u2Represent the additional control signals of the second inverter.
11. the device according to claim 10 for suppressing electromagnetic looped network power circulation, it is characterised in that the acquisition module
Specifically for：
The blow-out angle-modulated signals of first inverter and the second inverter are respectively such as following formula：
Δγ1=Δ u1(a1+b1/s) (5)
Δγ2=Δ u2(a2+b2/s) (6)
Wherein, Δ γ1Represent the blow-out angle-modulated signals of the first inverter, a1、b1Represent that the direct current of the first inverter is added respectively
The proportionality coefficient and integral coefficient of controller, Δ γ2Represent the blow-out angle-modulated signals of the second inverter, a2、b2Is represented respectively
The proportionality coefficient and integral coefficient of the HVDC supplementary control of two inverters, s represent integrating factor, Δ γ1With Δ γ2It is full respectively
Foot：
-Δγ1max≤Δγ1≤Δγ1max (7)
-Δγ2max≤Δγ2≤Δγ2max (8)
Wherein, Δ γ1maxRepresent the amplitude limits value at the blow-out angle of the first inverter, Δ γ2maxThe second inverter is represented respectively
The amplitude limits value at blow-out angle.
12. the device according to claim 11 for suppressing electromagnetic looped network power circulation, it is characterised in that the determining module
Specifically for：
The Trigger Angle of first inverter and the second inverter is respectively such as following formula：
α1=(γ1-Δγ1-γ1ref)(K11+K12/s) (9)
α2=(γ2-Δγ2-γ2ref)(K21+K22/s) (10)
Wherein, α1Represent the Trigger Angle of the first inverter, α2Represent the Trigger Angle of the second inverter, γ1Represent the first inverter
Blow-out angle, γ2Represent the blow-out angle of the second inverter, γ1refRepresent the blow-out angle a reference value of the first inverter, γ2refRepresent the
The blow-out angle a reference value of two inverters, K11、K12The proportionality coefficient and integration system of master controller in the first inverter are represented respectively
Number, K21、K22The proportionality coefficient and integral coefficient of master controller in the second inverter are represented respectively.
13. the device according to claim 12 for suppressing electromagnetic looped network power circulation, it is characterised in that the determining module
Specifically for：
Judge α1Whether 0 is more than, if the then power output of the first inverter such as following formula：
P1=K1U1Icos(γ1-Δγ1) (11)
Q1=-K1U1Isin(γ1-Δγ1) (12)
Wherein, P1Represent the active power of the first inverter output, Q1The reactive power of the first inverter output is represented, I is direct current
Line current, K1Represent the proportionality coefficient of the first inverter；
If α1≤ 0, the then power output of the first inverter such as following formula：
P1=K1U1Icosγ1 (13)
Q1=-K1U1Isinγ1 (14)。
14. the device according to claim 12 for suppressing electromagnetic looped network power circulation, it is characterised in that the determining module
Specifically for：
Judge α2Whether 0 is more than, if the then power output of the second inverter such as following formula：
P2=K2U2Icos(γ2-Δγ2) (15)
Q2=-K2U2Isin(γ2-Δγ2) (16)
Wherein, P2Represent the active power of the second inverter output, Q2Represent the reactive power of the second inverter output, K2Represent
The proportionality coefficient of second inverter；
If α2≤ 0, the then power output of the second inverter such as following formula：
P2=K2U2Icosγ2 (17)
Q2=-K2U2Isinγ2 (18)。
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